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Supergeneralized Finsler spaces. (English) Zbl 0592.53014
Summary: The present paper is a complete version of the authors’ lecture [Some remarks on supergeneralized Finsler spaces, Finsler geometry, Proc. Rom.- Jap. Colloq., Braşov, Iaşi, Bucureşti/Rom. 1984, 31-36 (1985; see the following review Zbl 0592.53015)]. They discuss non-symmetric generalized Finsler metrics, and especially consider the problem of existence and arbitrariness of Finsler connections compatible with such a metric.

MSC:
53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
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